A185068 - OEIS

%I #17 Jun 22 2017 06:05:37

%S 0,2,2,3,4,4,1,10,5,2,2,2,20,1,1,2,1,3,2,1,3,2,2,1,26,2,3,9,2,5,2,5,1,

%T 2,3,1,1,1,1,2,1,7,4,2,1,1,1,1,2,1,5,17,9,1,31,1,4,5,5,1,1,1,2,1,1,1,

%U 1,1,1,6,1,10,1,3,1,4,1,1,6,5,3,2,4,1,26,1,1,1,2,3,1,1,1,1

%N Continued fraction for gamma^phi.

%C Gamma is Euler's constant (or the Euler-Mascheroni constant) and phi is the golden ratio.

%H G. C. Greubel, <a href="/A185068/b185068.txt">Table of n, a(n) for n = 0..5000</a>

%e gamma^phi = 0.4109953877540141322242434956... = 0 + 1/(2 + 1/(2 + 1/(3 + 1/(4 + 1/(4 + ...))))).

%t ContinuedFraction[EulerGamma^GoldenRatio, 100 ]

%o (PARI) contfrac(Euler^((1+sqrt(5))/2)) \\ _Charles R Greathouse IV_, Jul 29 2011

%Y Cf. A001622.

%K nonn,cofr

%O 0,2

%A _Michel Lagneau_, Feb 18 2011